GCD of 634, 138, 12, 650 Calculator

Given Input numbers are 634, 138, 12, 650

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 634, 138, 12, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 138, 12, 650 is 2.

Therefore, GCD of numbers 634, 138, 12, 650 is 2

Given Input Data is 634, 138, 12, 650

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 634 is 2 x 317

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 650 is 2 x 5 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(634, 138) = 43746

GCD(634, 138) = ( 634 x 138 ) / 43746

GCD(634, 138) = 87492 / 43746

GCD(634, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

GCD of 634, 138, 12, 650 is 2

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1. What is the GCD of 634, 138, 12, 650?

GCD of 634, 138, 12, 650 is 2

2. Where do I get the detailed procedure to find GCD of 634, 138, 12, 650?

You can find a detailed procedure to find GCD of 634, 138, 12, 650 on our page.

3. How to find GCD of 634, 138, 12, 650 on a calculator?

You can find the GCD of 634, 138, 12, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.